4211434115040 has 192 divisors, whose sum is σ = 13313864277504. Its totient is φ = 1119001847808.

The previous prime is 4211434115039. The next prime is 4211434115113. The reversal of 4211434115040 is 405114341124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4211434114989 and 4211434115007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439281127 + ... + 439290713.

It is an arithmetic number, because the mean of its divisors is an integer number (69343043112).

Almost surely, 2^{4211434115040} is an apocalyptic number.

4211434115040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211434115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656932138752).

4211434115040 is an abundant number, since it is smaller than the sum of its proper divisors (9102430162464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4211434115040 is a wasteful number, since it uses less digits than its factorization.

4211434115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12809 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 4211434115040 its reverse (405114341124), we get a palindrome (4616548456164).

The spelling of 4211434115040 in words is "four trillion, two hundred eleven billion, four hundred thirty-four million, one hundred fifteen thousand, forty".